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From photoelectric $uvby\beta$ data and recent accurate synthetic andspectroscopic values of $T_{\rm eff}$ and log~$g$ for 50 F-G supergiants, wehave calculated functional relationships that lead to initial estimates ofeffective temperature and gravities for these types of stars. It is shown thatwhile the $T_{\rm eff}$ relationships are calculated using the data on youngmassive supergiants, they are also valid for evolved stars of similartemperatures like post-AGB and RV Tau stars. The gravity can also be predictedfrom the $\Delta [c_1]$ index with an uncertainty of about 0.26 dex. Although aclear and significant trend between $M_V$ and $\Delta [c_1]$ is seen, nocalibration is found that predicts accurate values of $M_V$.

Functional relationships for $T_{\rm {eff}}$ and log~$g$ in F-G supergiants from $uvby\beta$ photometry